具有色散系数的(2+1)维非线性Schrdinger方程的有理解和空间孤子

Rational solutions and spatial solitons for the (2+l)-dimensional nonlinear Schrdinger equation with distributed coefficients

非线性Schrdinger方程是物理学中具有广泛应用的非线性模型之一.本文采用相似变换,将具有色散系数的(2+1)维非线性Schrdinger方程简化成熟知的Schrdinger方程,进而得到原方程的有理解和一些空间孤子.

The nonlinear Schroedinger equation is one of the most important nonlinear models with widely applications in physics. Based on a similarity transformation, the （2＋1）-dimensional nonlinear Schroedinger equation with distributed coefficients is transformed into a traceable nonlinear Schroedinger equation, and then two types of rational solutions and several spatial solitons are derived.